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| Name | What's a representation? An intro to modern math's magical machinery | #SoME2 |
| Video Uploader | Video From zamzawed |
| Upload Date | This Video Uploaded At 15-08-2022 00:41:55 |
| Video Discription | This video is an introduction to the representation theory of finite groups. It is pretty dense, but I did my best not to include much heavy mathematics. I'll leave some links below for some more background on several of the topics in the video. None of these are necessary to understand the video, but they're definitely helpful and a good place to branch out. 3B1B's intro to group theory: https://youtu.be/mH0oCDa74tE 3B1B's Intro to linear algebra: https://youtu.be/fNk_zzaMoSs?list=PLZHQObOWTQDPD3MizzM2xVFitgF8hE_ab Borcherds' representation theory (advanced): https://youtu.be/Q9OsEZV5YX8?list=PL8yHsr3EFj51AM_VmB0VygPIzcUCH_jUG Quanta vid on Langlands: https://youtu.be/_bJeKUosqoY This video was made in large part for 3Blue1Brown's Summer of Math Exposition 2 #some2. Thanks to Grant Sanderson, James Schloss, and everyone else who helped organize it. See the main video for more information here: https://youtu.be/hZuYICAEN9Y Timestamps: 0:00 - Introduction 2:27 - Groups 4:54 - GL(V) 5:54 - bird 6:01 - Linear algebra crash course 8:48 - Cyclic group representation 12:20 - Symmetric group cycles 14:15 - A5 representation 18:25 - Summary Credits: Thumbnail has pics from nature and thewalrus (illustrator Jonathan Dyck) Images of cubes and dodecahedron come from robertlovespi, who has an amazing site about tons of polyhedra bird: https://youtu.be/55kBG5TD0OY end credits bird gif from user arashigul on gifer |
| Category | Science & Technology |
| Tags | SoME2 | summer of math exposition | representation | math | representation theory | linear algebra | groups | 3blue1brown | some2 | theory |
